The Length of a Rectangle Is Decreasing at the Rate $\frac { 1 } { 2 } \mathrm { ft } / \mathrm { s }$

question 257

Multiple Choice

The length of a rectangle is decreasing at the rate of 1 foot per second, but the area remains constant. How fast is the rectangle's width increasing when its length is 10 feet and its width is 5 feet?

• A) \(\frac { 1 } { 2 } \mathrm { ft } / \mathrm { s }\)
• B) \(4 \mathrm { ft } / \mathrm { s }\)
• C) \(\frac { 1 } { 10 } \mathrm { tt } / \mathrm { s }\)
• D) \(2 \mathrm { ft } / \mathrm { s }\)
• E) \(5 \mathrm { ft } / \mathrm { s }\)
• F) \(\frac { 1 } { 4 } \mathrm { ft } / \mathrm { s }\)
• G) \(10 \mathrm { ft } / \mathrm { s }\)
• H)\(\frac { 1 } { 5 } \mathrm { tt } / \mathrm { s }\)

Identify different types of money, including commodity money, fiat money, and legal tender.

Explain the concept of fractional reserve banking and its impact on the banking system.

Recognize the historical development of money and banking, including the role of early bankers.

Analyze the role of financial institutions as intermediaries between savers and borrowers.

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Definitions:

Supply

The total amount of a specific good or service that is available to consumers in a market at a given time and price.

Equilibrium Price

The price at which the quantity of a good or service demanded equals the quantity supplied, leading to a state of market balance.

Demand

The quantity of a good or service that consumers are willing and able to purchase at various prices.

Supply

The total amount of a good or service available for purchase by consumers at a given price level and time.